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stiks02 [169]
2 years ago
10

Find the difference of functions s and r shown below. r(x) = –x² + 3x

Mathematics
2 answers:
Gnesinka [82]2 years ago
7 0

Answer:

(2x+1) -(-x^2+3x)

Step-by-step explanation:

r(x) = –x² + 3x  

s(x) = 2x + 1

find the difference of (s-r)(x)

(s- r)(x) = s(x) - r(x)

we are given with s(x)  and r(x)

to find the difference we plug both functions

(s- r)(x) = s(x) - r(x)

(s- r)(x) = s(x) - r(x) = (2x+1) -(-x^2+3x)

distribute negative sign inside the parenthesis

2x+1 +x^2 -3x = x^2 -x +1

(2x+1) -(-x^2+3x) is the way we find difference

kolbaska11 [484]2 years ago
7 0

Answer:

(2x + 1) - (–x² + 3x) is difference .

Step-by-step explanation:

Given : r(x) = –x² + 3x  and  s(x) = 2x + 1

To find : Find the difference of functions s and r .

Solution :  We have given that  r(x) = –x² + 3x and s(x) = 2x + 1.

Difference :

(s – r)(x) = s(x) - r(x)

              =(2x + 1) - (–x² + 3x)

              = 2x +1 + x²-3x

             = x²-x +1.

Therefore, (2x + 1) - (–x² + 3x) is difference .

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Answer:

Step-by-step explanation:

From the given rectangle,

Length of the rectangle = 5 cm

Width of the rectangle = 10 cm

Ratio of length : width = 1 : 2

Perimeter of the rectangle = 2(l + b)= 150 cm

l + b = 75 -----(1)

Since, l : b = 1 : 2

\frac{l}{b}= \frac{1}{2}

b = 2l ------(2)

From equations (1) and (2),

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3l = 75

l = 25 m

Width 'b' = 2(25) = 50 m

Now we have to draw a rectangle with a scale = 25 : 2

Therefore, Scale factor = \frac{25}{l}=\frac{25}{2}

l = 2 cm

Similarly,

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w = 4 cm

Now we can draw a rectangle with length = 2 cm and width = 4 cm.

5 0
2 years ago
1. Write 3,876,943,000 using scientific notation.
Sunny_sXe [5.5K]

Answer:

3.876943x10^9

7.317x10^-4

Step-by-step explanation:

3,876,943,000

Put the decimal at the end

3,876,943,000.

Move it so only 1 number is before the decimal

3.876943000

We moved it 9 places, so that is the exponent

We moved it to the left, so the exponent is positive

The three zeros at the end can be dropped because they are the last numbers to the right of the decimal

3.876943x10^9

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Move it so only 1 number is before the decimal

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We moved it 4 places, so that is the exponent

We moved it to the right, so the exponent is negative

The four zeros at the left can be dropped because they are the last numbers to the left of the whole number

7.317x10^-4

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Answer:

that is the solution to the question

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2 years ago
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Answer:


Step-by-step explanation:

Average amount saved per year = \frac{15,000}{5}

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It will only take Joanne 8 moths to save $2000.

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